ON THE IRRATIONALITY OF SIGMA (1/(QN+R))

被引：45
作者：
BORWEIN, PB [1 ]
机构：
[1] DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 4J3,NS,CANADA
来源：
JOURNAL OF NUMBER THEORY | 1991年 / 37卷 / 03期
关键词：
D O I：
10.1016/S0022-314X(05)80041-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if q is an integer greater than one and r is a non-zero rational (r≠-qm) then Σn=1∞ (1/(qn+r)) is irrational and is not a Liouville number. © 1991 Academic Press, Inc.
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页码：253 / 259
页数：7
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